Center for Applied Mathematics, Cornell University, Ithaca, New York 14853, USA.
Phys Rev Lett. 2018 Jun 29;120(26):264102. doi: 10.1103/PhysRevLett.120.264102.
In 1992, a puzzling transition was discovered in simulations of randomly coupled limit-cycle oscillators. This so-called volcano transition has resisted analysis ever since. It was originally conjectured to mark the emergence of an oscillator glass, but here we show it need not. We introduce and solve a simpler model with a qualitatively identical volcano transition and find that its supercritical state is not glassy. We discuss the implications for the original model and suggest experimental systems in which a volcano transition and oscillator glass may appear.
1992 年,在随机耦合极限环振荡器的模拟中发现了一个令人费解的转变。这个所谓的火山转变自那以后一直难以分析。它最初被推测为标志着振荡器玻璃的出现,但在这里我们表明它不必如此。我们引入并解决了一个具有定性上相同火山转变的更简单模型,并发现其超临界状态不是玻璃态。我们讨论了这对原始模型的影响,并提出了可能出现火山转变和振荡器玻璃的实验系统。